GCF of 1909/456, 5848/6675
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1909/456, 5848/6675 i.e 1/1014600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1909/456, 5848/6675.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 1909/456,5848/6675?
Given fractions are 1909/456,5848/6675
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 1909/456,5848/6675, numerators are 1909,5848
Denominators are 456,6675
The GCF of 1909,5848 is 1 .
LCM of 456,6675 is 1014600.
The greatest common factor of 1909/456,5848/6675 = [GCF of 1909,5848]/[LCM of 456,6675]= 1/1014600
Therefore, the GCF of 1909/456,5848/6675 is 1/1014600.
To find the highest common factor of 1909,5848, we have to find the factors of both numbers and list the highest common factor.
The factors of 1909 are 1, 23, 83, 1909
The factors of 5848 are 1, 2, 4, 8, 17, 34, 43, 68, 86, 136, 172, 344, 731, 1462, 2924, 5848
The HCF of 1909,5848 is 1.
Lets's calculate GCF of 1909,5848
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1909,5848 By Matching Biggest Common Factor Method
Now, list down the factors of 1909
:1,23,83,1909
Now, list down the factors of 5848
:1,2,4,8,17,34,43,68,86,136,172,344,731,1462,2924,5848
Greatest Common Factor
We found the factors 1909,5848 . The biggest common factor number is the GCF number.
So the greatest common factor 1909,5848 is 1.
Lets's calculate LCM of 456,6675
| 3 | 456, 6675 |
| 152, 2225 |
∴ So the LCM of the given numbers is 3 x 152 x 2225 = 1014600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1014600
Therefore, the GCF of Fractions 1909/456,5848/6675 is 1/1014600
Least Common Multiple of 456,6675 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 456,6675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(456,6675) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(456,6675) x common factors =3 x 1 = 3
LCM(456,6675) = ( 456 × 6675 ) / 3
LCM(456,6675) = 3043800 / 3
LCM(456,6675) = 1014600
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FAQs on GCF of Fractions of 1909/456, 5848/6675
1. What is the HCF of 1909,5848?
The HCF of 1909,5848 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 1909/456, 5848/6675?
Answer: GCF of Numerators as per given numbers 1909/456, 5848/6675 is
GCF of Numerators i.e. for 1909,5848 is 1
LCM of denominators i.e. for 456,6675 is 1014600.
Thus, GCF of Fractions is 1/1014600.Finally, GCF of Fractions for 1909/456, 5848/6675 is 1/1014600.